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Finding the Third Proportional to 89,682.50 and 192,244

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Solution

The third proportional to 89,682.50 and 192,244 is: 412,095.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,682.50 : 192,244 = 192,244 : x
  2. Step 2: Convert to fraction form
    89,682.50/192,244 = 192,244/x
  3. Step 3: Cross multiply
    89,682.50x = 192,244 × 192,244
  4. Step 4: Simplify right side
    89,682.50x = 36,957,755,536
  5. Step 5: Solve for x
    x = 36,957,755,536/89,682.50
  6. Step 6: Final answer
    x = 412,095.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.